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Finding the Fourth Proportional to 137.16, 189.14 and 106.11

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Solution

The fourth proportional to 137.16, 189.14 and 106.11 is: 146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.16 : 189.14 = 106.11 : x
  2. Step 2: Convert to fraction form
    137.16/189.14 = 106.11/x
  3. Step 3: Cross multiply
    137.16x = 189.14 × 106.11
  4. Step 4: Simplify right side
    137.16x = 20,069.11
  5. Step 5: Solve for x
    x = 20,069.11/137.16
  6. Step 6: Final answer
    x = 146.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.